In Dehejia and Wahba (2002), after the average treatment effect column, there is also a new column "regression treatment effect". I know the average treatment effect is just the average difference of the treated and the matched controlled outcome. I am not sure what the regression treatment is supposed to be and how can I obtain it from Stata.
On page 154 of D&W (2002)$^*$, it says
In addition to using a weighted difference in means to estimate the treatment effect, we also consider a weighted regression using the treatment and matched comparison units, with the comparison units weighted by the number of times that they are matched to a treated unit. A regression can potentially improve the precision of the estimates
This is a regression of the form
reg outcome_var i.treated age education ... if matched==1 [iw = weight_var]
$^*$ Propensity Score-Matching Methods For Nonexperimental Causal Studies by Rajeev Dehejia and Sadek Wahba, The Review of Economics and Statistics, 2002, vol. 84, issue 1, 151-161